万物的对称
The symmetries of things
John Horton Conway、Heidi Burgiel、Chaim Goodman-Strauss · 初版 2008 年
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“symmetry（对称）是艺术、科学和自然界中的一种基本现象，长期以来一直借助数学概念被捕捉、描述和分析。受Bill Thurston几何直觉的启发，并在自身分析能力的支撑下，John Conway与合著者共同构建了一套全面的symmetry数学理论，从而能够在众多的几何环境中对对称性进行描述与分类。这本配图丰富生动、引人入胜的专著从三个层面上探讨了symmetry的现象学、分析学及数学层面
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约翰·H·康威、海蒂·伯吉尔（Heidi Burgiel）和查姆·古德曼-斯特劳斯（Chaim Goodman-Strauss）合著的《事物之对称》（The Symmetries of Things）[1]。一部配图极其精美、极具阐释性的杰作，详细描述了诸如平面上的17种壁纸群等对称群（想想……
"The Symmetries of Things" [1] by John H. Conway, Heidi Burgiel, and Chaim Goodman-Strauss. A fantastic and beautifully illustrated expository work describing symmetry groups such as the 17 wallpaper groups in the plane (think…
约翰·H·康威、海蒂·伯吉尔（Heidi Burgiel）和查姆·古德曼-斯特劳斯（Chaim Goodman-Strauss）合著的《事物之对称》（The Symmetries of Things）[1]。一部配图极其精美、极具阐释性的杰作，详细描述了诸如平面上的17种壁纸群等对称群（想想……
"The Symmetries of Things" [1] by John H. Conway, Heidi Burgiel, and Chaim Goodman-Strauss. A fantastic and beautifully illustrated expository work describing symmetry groups such as the 17 wallpaper groups in the plane (think…
约翰·康威（John Conway）和威廉·瑟斯顿（William Thurston）搞出的另一套非常有意思的、用于讨论对称性的记号/数学语言。强烈推荐《事物之对称》（The Symmetries of Things）：https://smile.amazon.com/gp/aw/d/1568812205/ref=mp_s_a_1_1?i...
Another very interesting notation/mathematical language from John Conway and William Thurston is for talking about symmetry. Highly recommend The Symmetries of Things: https://smile.amazon.com/gp/aw/d/1568812205/ref=mp_s_a_1_1?i...
……一个对数学充满好奇心且比较有主见的孩子。高德纳（Knuth）的《超现实数》（Surreal Numbers）也是一本好书。我订的《论数字与博弈》（On Numbers and Games）正在寄过来的路上，同时还在到处淘一本价格合理《事物之对称》（The Symmetries of Things）。我很想把《Atlas》买来收藏，但我觉得自己读了也不会有太大收获（: 除了康威的作品，还推荐《普林斯顿数学指南》（The Princeton Companion to Mathematics），那真是一块巨大的砖头……
…mathematically curious, somewhat independent, child. Knuth's Surreal Numbers is also a great read. Got On Numbers and Games coming in the mail, and am trying to track down a reasonably priced copy of The Symmetries of Things. I'm tempted to get the Atlas for my collection, but I don't think I'd actually get much from reading it (: In non-Conway recommendations, The Princeton Companion to Mathematics is a huge brick of a…